New studies on dynamic analysis of inertial neural networks involving non-reduced order method

Abstract This paper studies a class of inertial neural networks with delays. By utilizing differential inequality analysis, some novel assertions are gained to validate the global exponential stability of the addressed model, which generalize and refine some recent results in Li et al. [Neural Networks 96 (2017) 91–100]. In the end, some examples with their numerical simulations are carried out to validate the analytical results.

[1]  Luogen Yao,et al.  Dynamics of Nicholson’s blowflies models with a nonlinear density-dependent mortality , 2018, Applied Mathematical Modelling.

[2]  Jinde Cao,et al.  Global dissipativity of memristor-based neutral type inertial neural networks , 2017, Neural Networks.

[3]  Zhengqiu Zhang,et al.  Global exponential stability via inequality technique for inertial BAM neural networks with time delays , 2015, Neurocomputing.

[4]  R. Rakkiyappan,et al.  Synchronization and periodicity of coupled inertial memristive neural networks with supremums , 2016, Neurocomputing.

[5]  Jian Xu,et al.  Weak resonant Double Hopf bifurcations in an Inertial Four-Neuron Model with Time Delay , 2012, Int. J. Neural Syst..

[6]  Ling Wang,et al.  Bifurcation and Control in an Inertial Two-Neuron System with Time delays , 2012, Int. J. Bifurc. Chaos.

[7]  Jinde Cao,et al.  Matrix measure strategies for stability and synchronization of inertial BAM neural network with time delays , 2014, Neural Networks.

[8]  Chee Peng Lim,et al.  Synchronization of an Inertial Neural Network With Time-Varying Delays and Its Application to Secure Communication , 2018, IEEE Transactions on Neural Networks and Learning Systems.

[9]  X. Liao,et al.  Dynamics of an inertial two-neuron system with time delay , 2009 .

[10]  Yunquan Ke,et al.  Stability analysis of inertial Cohen-Grossberg-type neural networks with time delays , 2013, Neurocomputing.

[11]  Changjin Xu,et al.  Existence and global exponential stability of anti-periodic solutions for BAM neural networks with inertial term and delay , 2015, Neurocomputing.

[12]  X. Liao,et al.  Hopf bifurcation and chaos in a single inertial neuron model with time delay , 2004, nlin/0411027.

[13]  Jinde Cao,et al.  Stability and synchronization analysis of inertial memristive neural networks with time delays , 2016, Cognitive Neurodynamics.

[14]  Jinde Cao,et al.  Global exponential stability in Lagrange sense for inertial neural networks with time-varying delays , 2016, Neurocomputing.

[15]  Jingfeng Wang,et al.  Global Lagrange stability for inertial neural networks with mixed time-varying delays , 2017, Neurocomputing.

[16]  Ke Yunquan,et al.  Stability and existence of periodic solutions in inertial BAM neural networks with time delay , 2013, Neural Computing and Applications.

[17]  D. W. Wheeler,et al.  Stability and chaos in an inertial two neuron system , 2008 .

[18]  Pagavathigounder Balasubramaniam,et al.  Synchronization of Markovian jumping inertial neural networks and its applications in image encryption , 2016, Neural Networks.

[19]  Jinde Cao,et al.  Matrix measure based dissipativity analysis for inertial delayed uncertain neural networks , 2016, Neural Networks.

[20]  Yunquan Ke,et al.  Anti-periodic Solutions of Inertial Neural Networks with Time Delays , 2016, Neural Processing Letters.

[21]  Xiaotong Li,et al.  Some new results on stability and synchronization for delayed inertial neural networks based on non-reduced order method , 2017, Neural Networks.

[22]  Zhengqiu Zhang,et al.  New global exponential stability conditions for inertial Cohen-Grossberg neural networks with time delays , 2015, Neurocomputing.

[23]  Jian Xu,et al.  Multitype Activity Coexistence in an Inertial Two-Neuron System with Multiple Delays , 2015, Int. J. Bifurc. Chaos.

[24]  Robert M. Westervelt,et al.  Stability and dynamics of simple electronic neural networks with added inertia , 1986 .

[25]  R. Westervelt,et al.  Dynamics of simple electronic neural networks , 1987 .